The number 13120
13120 is a composite number with 28 divisors. Its prime factorisation is × 5 × 41. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 64, 80, 82, 160, 164 … 13120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13120 is composite. Its prime factorisation is
- 3
The divisors add up to 32004; without 13120 itself that is 18884, so 13120 is abundant (18884 is more than 13120). Euler's totient φ(13120) = 5120 numbers up to 13120 share no factor with it.
- 4
The digits of 13120 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13120 = 2^{6} \times 5 \times 41 \]13120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 32004 |
| Euler totient φ(n) | 5120 |
| Square | 172134400 |
| Cube | 2258403328000 |
| Square root | 114.542569 (= 8√205) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.312 × |
13120 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and twenty |
| Binary (base 2) | 11001101000000 |
| Octal (base 8) | 31500 |
| Hexadecimal (base 16) | 3340 |
| Base 3 | 122222221 |
| As time | 13120 seconds = 3 h 38 min 40 s |
Is 13120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13120 ÷ 2 = 6560) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13120 ÷ 4 = 3280) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13120 ÷ 5 = 2624) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (13120 ÷ 8 = 1640) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13120 ÷ 10 = 1312) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13120 a prime number?
No. 13120 = × 5 × 41, so it is divisible by 2.
What are the factors of 13120?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 64, 80, 82, 160, 164, 205, 320, 328, 410, 656, 820, 1312, 1640, 2624, 3280, 6560, 13120.
What is 13120 in binary?
11001101000000 (hexadecimal 3340, octal 31500).
What is the square root of 13120?
About 114.5426, exactly 8√205.
Is 13120 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 13120?
It is a composite number with 28 divisors.